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math.NA2024
Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch
Alexander Heinlein, Kyrill Ho, Axel Klawonn +1
Owing to the ability of nonlinear domain decomposition methods to improve the nonlinear convergence behavior of Newton's method, they have experienced a rise in popularity recently…
math.NA2024
A computational study of algebraic coarse spaces for two-level overlapping additive Schwarz preconditioners
Filipe A. C. S. Alves, Alexander Heinlein, Hadi Hajibeygi
The two-level overlapping additive Schwarz method offers a robust and scalable preconditioner for various linear systems resulting from elliptic problems. One of the key to these p…
math.NA2024
Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems
Erik Sieburgh, Alexander Heinlein, Vandana Dwarka +1
The development of scalable and wavenumber-robust iterative solvers for Helmholtz problems is challenging but also relevant for various application fields. In this work, two-level…